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801
GATE ECE 1998 | Question 18
Implement a monostable multivibrator using the timer circuit shown in the figure is Also determine an expression for $\mathrm{ON}$ time $\mathrm{T}$ of the output pulse.
Implement a monostable multivibrator using the timer circuit shown in the figure is Also determine an expression for $\mathrm{ON}$ time $\mathrm{T}$ of the output pulse.
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803
GATE ECE 1998 | Question 20
An $\text{SSB}$ signal is demodulated by using a synchronous demodulator. However, the locally arranged carrier has a phase error $0$. Determine the effect of the error on demodulation. What will be the effect of this error if the input is $\text{DSB-SC}$ in place of $\text{SSB}$?
An $\text{SSB}$ signal is demodulated by using a synchronous demodulator. However, the locally arranged carrier has a phase error $0$. Determine the effect of the error o...
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804
GATE ECE 1998 | Question 21
White noise of two-sided spectral density $2 \times 10^{-6} \mathrm{~V}^{2} / \mathrm{Hz}$ is applied to a simple $\mathrm{R}-\mathrm{C}$ low pass filter whose $3 \mathrm{~dB}$ cut off frequency is $4 \; \mathrm{kHz}$. Find the mean squared value of the noise output.
White noise of two-sided spectral density $2 \times 10^{-6} \mathrm{~V}^{2} / \mathrm{Hz}$ is applied to a simple $\mathrm{R}-\mathrm{C}$ low pass filter whose $3 \mathrm...
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805
GATE ECE 1998 | Question 22
Consider a rectangular pulse $g(t)$ existing between $t=-\frac{T}{2}$ and $t=-\frac{T}{2}$. Find and sketch the pulse obtained by convolving $g(t)$ with itself. The Fourier transform of $g(t)$ is a sine function. Write down to Fourier transform of the pulse obtained by the above convolution.
Consider a rectangular pulse $g(t)$ existing between $t=-\frac{T}{2}$ and $t=-\frac{T}{2}$. Find and sketch the pulse obtained by convolving $g(t)$ with itself. The Fouri...
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806
GATE ECE 1998 | Question 23
A rectangular waveguide with inner dimensions $6 \mathrm{~cm} \times 3 \mathrm{~cm}$ has been designed for a single mode operation. Find the possible frequency range of operation such that the lowest frequency is $5 \%$ above the cut off and the highest frequency is $5 \%$ below the cut off of the next higher mode.
A rectangular waveguide with inner dimensions $6 \mathrm{~cm} \times 3 \mathrm{~cm}$ has been designed for a single mode operation. Find the possible frequency range of o...
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810
GATE ECE 2003 | Question: 1
The minimum number of equations required to analyze the circuit shown in the figure is $3$ $4$ $6$ $7$
The minimum number of equations required to analyze the circuit shown in the figure is$3$$4$$6$$7$
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812
GATE ECE 2003 | Question: 3
A series $\text{RLC}$ circuit has a resonance frequency of $1 \; \mathrm{kHz}$ and a quality factor $\text{Q}=100$. If each of $\text{R, L}$ and $\text{C}$ is doubled from its original value, the new $\text{Q}$ of the circuit is $25$ $50$ $100$ $200$
A series $\text{RLC}$ circuit has a resonance frequency of $1 \; \mathrm{kHz}$ and a quality factor $\text{Q}=100$. If each of $\text{R, L}$ and $\text{C}$ is doubled fro...
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813
GATE ECE 2003 | Question: 4
The Laplace transform of $i(t)$ is given by $ I(s)=\frac{2}{s(1+s)} $ As $t \rightarrow \infty$, the value of $i(t)$ lends to $0$ $1$ $2$ $\infty$
The Laplace transform of $i(t)$ is given by $$ I(s)=\frac{2}{s(1+s)} $$ As $t \rightarrow \infty$, the value of $i(t)$ lends to$0$$1$$2$$\infty$
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814
GATE ECE 2003 | Question: 5
The differential equation for the current $i(t)$ in the circuit of the figure is $2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\sin t$ $\frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+2 i(t)=\cos t$ $2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\cos t$ $\frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+2 i(t)=\sin t$
The differential equation for the current $i(t)$ in the circuit of the figure is$2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\sin t$$\frac{d^2 i}{d t^2}+2 \frac{d i}{d t...
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815
GATE ECE 2003 | Question: 6
$n$-type silicon is obtained by doping silicon with Germanium Aluminium Boron Phosphorus
$n$-type silicon is obtained by doping silicon withGermaniumAluminiumBoronPhosphorus
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816
GATE ECE 2003 | Question: 7
The bandgap of silicon at $300 \mathrm{~K}$ is $1.36 \; \mathrm{eV}$ $1.10 \; \mathrm{eV}$ $0.80 \; \mathrm{eV}$ $0.67 \; \mathrm{eV}$
The bandgap of silicon at $300 \mathrm{~K}$ is$1.36 \; \mathrm{eV}$$1.10 \; \mathrm{eV}$$0.80 \; \mathrm{eV}$$0.67 \; \mathrm{eV}$
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819
GATE ECE 2003 | Question: 10
For an $n$-channel enhancement type MOSFET, if the source is connected at a higher potential than that of the bulk (i.e. $V_{SB}>0$ ), the threshold voltage $V_T$ of the MOSFET will remain unchanged decrease change polarity increase
For an $n$-channel enhancement type MOSFET, if the source is connected at a higher potential than that of the bulk (i.e. $V_{SB}>0$ ), the threshold voltage $V_T$ of the ...
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820
GATE ECE 2003 | Question: 11
Choose the correct match for input resistance of various amplifier configurations shown below ... $\text{CB-LO, CC-HI, CE-MO}$ $\text{CB-MO, CC-HI, CE-LO}$ $\text{CB-HI, CC-LO, CE-MO}$
Choose the correct match for input resistance of various amplifier configurations shown below$\begin{array}{ll}\text { Configuration } & \text { Input resistance } \\ \te...
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821
GATE ECE 2003 | Question: 12
The circuit shown in the figure is best described as a bridge rectifier ring modulator frequency discriminatory voltage doubler
The circuit shown in the figure is best described as abridge rectifierring modulatorfrequency discriminatoryvoltage doubler
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822
GATE ECE 2003 | Question: 13
If the input to the ideal comparator shown in the figure is a sinusoidal signal of $8 \mathrm{~V}$ (peak to peak) without any DC component, then the output of the comparator has a duty cycle of $1 / 2$ $1 / 3$ $1 / 6$ $1 / 12$
If the input to the ideal comparator shown in the figure is a sinusoidal signal of $8 \mathrm{~V}$ (peak to peak) without any DC component, then the output of the compara...
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823
GATE ECE 2003 | Question: 14
If the differential voltage gain and the common mode voltage gain of a differential amplifier are $48 \mathrm{~dB}$ and $2 \mathrm{~dB}$ respectively, then its common mode rejection ratio is $23 \mathrm{~dB}$ $25 \mathrm{~dB}$ $46 \mathrm{~dB}$ $50 \mathrm{~dB}$
If the differential voltage gain and the common mode voltage gain of a differential amplifier are $48 \mathrm{~dB}$ and $2 \mathrm{~dB}$ respectively, then its common mod...
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824
GATE ECE 2003 | Question: 15
Generally, the gain of a transistor amplifier falls at high frequencies due to the internal capacitances of the device coupling capacitor at the input skin effect coupling capacitor at the output
Generally, the gain of a transistor amplifier falls at high frequencies due to theinternal capacitances of the devicecoupling capacitor at the inputskin effectcoupling ca...
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825
GATE ECE 2003 | Question: 16
The number of distinct Boolean expressions of $4$ variables is $16$ $256$ $1024$ $65536$
The number of distinct Boolean expressions of $4$ variables is$16$$256$$1024$$65536$
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826
GATE ECE 2003 | Question: 17
The minimum number of comparators required to build an $8$ bit flash ADC is $8$ $63$ $255$ $256$
The minimum number of comparators required to build an $8$ bit flash ADC is$8$$63$$255$$256$
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827
GATE ECE 2003 | Question: 18
The output of the $74$ series of $\text{TTL}$ gates is taken from a $\text{BJT}$ in totem pole and common collector configuration either totem pole or open collector configuration common base configuration common collector configuration
The output of the $74$ series of $\text{TTL}$ gates is taken from a $\text{BJT}$ intotem pole and common collector configurationeither totem pole or open collector config...
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828
GATE ECE 2003 | Question: 19
Without any additional circuitry, an $8: 1 \; \mathrm{MUX}$ can be used to obtain some but not all Boolean functions of $3$ variables all functions of $3$ variables but none of $4$ variables all functions of $3$ variables and some but not all of $4$ variables all functions of $4$ variables
Without any additional circuitry, an $8: 1 \; \mathrm{MUX}$ can be used to obtainsome but not all Boolean functions of $3$ variablesall functions of $3$ variables but non...
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829
GATE ECE 2003 | Question: 20
A $0$ to $6$ counter consists of $3$ flip flops and a combination circuit of $2$ input gate(s). The combination circuit consists of one AND gate one OR gate one AND gate and one OR gate two AND gates
A $0$ to $6$ counter consists of $3$ flip flops and a combination circuit of $2$ input gate(s). The combination circuit consists ofone AND gateone OR gateone AND gate and...
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830
GATE ECE 2003 | Question: 21
The Fourier series expansion of a real periodic signal with fundamental frequency $\mathrm{f}_0$ is given by $ g_p(t)=\sum_{n=-\infty}^{\infty} c_n e^{j 2 \pi n f_\omega t} $ It is given that $c_3=3+j 5$. Then $c_{-3}$ is $5+j 3$ $-3-j 5$ $-5+j 3$ $3-j 5$
The Fourier series expansion of a real periodic signal with fundamental frequency $\mathrm{f}_0$ is given by $$ g_p(t)=\sum_{n=-\infty}^{\infty} c_n e^{j 2 \pi n f_\omega...
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831
GATE ECE 2003 | Question: 22
Let $x(t)$ be the input to a linear, time-invariant system. The required output is $4 x(t-2)$. The transfer function of the system should be $4 e^{j4 \pi f}$ $2 e^{-j8 \pi f}$ $4 e^{-j4 \pi f}$ $2 e^{j8 \pi f}$
Let $x(t)$ be the input to a linear, time-invariant system. The required output is $4 x(t-2)$. The transfer function of the system should be$4 e^{j4 \pi f}$$2 e^{-j8 \pi ...
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832
GATE ECE 2003 | Question: 23
A sequence $x(n)$ with the z-transform $X(z)=z^4+z^2-2 z+2-3 z-4$ is applied as an input to a linear, time-invariant system with the impulse response $h(n)=2 \delta(n-3)$ where $ \delta(n)= \begin{cases}1, & n=0 \\ 0, & \text { otherwise }\end{cases} $ The output at $n=4$ is $-6$ zero $2$ $-4$
A sequence $x(n)$ with the z-transform $X(z)=z^4+z^2-2 z+2-3 z-4$ is applied as an input to a linear, time-invariant system with the impulse response $h(n)=2 \delta(n-3)$...
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834
GATE ECE 2003 | Question: 25
A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has a higher type number reduced damping higher noise amplification larger transient overshoot
A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system hasa higher type numberreduced dampinghigher noise amplificat...
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835
GATE ECE 2003 | Question: 26
The input to a coherent detector is DSB-SC signal plus noise. The noise at the detector output is the in-phase component the quadrature-component zero the envelope
The input to a coherent detector is DSB-SC signal plus noise. The noise at the detector output isthe in-phase componentthe quadrature-componentzerothe envelope
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836
GATE ECE 2003 | Question: 27
The noise at the input to an ideal frequency detector is white. The detector is operating above threshold. The power spectral density of the noise at the output is raised-cosine flat parabolic Gaussian
The noise at the input to an ideal frequency detector is white. The detector is operating above threshold. The power spectral density of the noise at the output israised-...
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837
GATE ECE 2003 | Question: 28
At a given probability of error, binary coherent $\text{FSK}$ is inferior to binary coherent $\text{PSK}$ by $6 \mathrm{~dB}$ $3 \mathrm{~dB}$ $2 \mathrm{~dB}$ $0 \mathrm{~dB}$
At a given probability of error, binary coherent $\text{FSK}$ is inferior to binary coherent $\text{PSK}$ by$6 \mathrm{~dB}$$3 \mathrm{~dB}$$2 \mathrm{~dB}$$0 \mathrm{~dB...
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838
GATE ECE 2003 | Question: 29
The unit of $\nabla \times \mathrm{H}$ is Ampere Ampere/meter Ampere/meter ${ }^{2}$ Ampere-meter
The unit of $\nabla \times \mathrm{H}$ isAmpereAmpere/meterAmpere/meter ${ }^{2}$Ampere-meter
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839
GATE ECE 2003 | Question: 30
The depth of penetration of electromagnetic wave in a medium having conductivity $\sigma$ at a frequency of $1 \; \mathrm{MHz}$ is $25 \mathrm{~cm}$. The depth of penetration at a frequency of $4 \; \mathrm{MHz}$ will be $6.25 \mathrm{~cm}$ $12.50 \mathrm{~cm}$ $50.00 \mathrm{~cm}$ $100.00 \mathrm{~cm}$
The depth of penetration of electromagnetic wave in a medium having conductivity $\sigma$ at a frequency of $1 \; \mathrm{MHz}$ is $25 \mathrm{~cm}$. The depth of penetra...
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840
GATE ECE 2003 | Question: 31
Twelve $1 \; \Omega$ resistance are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is $\frac{5}{6} \; \Omega$ $1 \; \Omega$ $\frac{6}{5} \; \Omega$ $\frac{3}{2} \; \Omega$
Twelve $1 \; \Omega$ resistance are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is$\frac{5}{6} \; \Omega$$1 \; \Omega...
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